Noise-aided synchronization of coupled chaotic electrochemical oscillators.

We report experimental and numerical results on noise-enhanced synchronization of two coupled chaotic oscillators. Enhanced synchronization is achieved through superimposing small-amplitude Gaussian noise on a common system parameter of the two chaotic oscillators. A resonancelike behavior is found: at an optimum level of noise, maximum synchronization is attained. The simulations show that the resonance behavior occurs with both identical and nonidentical oscillators. Noncommon (asymmetric and independent) noise does not enhance synchronization; common noise seems to enhance synchronization.

[1]  Carroll,et al.  Desynchronization by periodic orbits. , 1995, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[2]  J. L. Hudson,et al.  Experiments on arrays of globally coupled chaotic electrochemical oscillators: Synchronization and clustering. , 2000, Chaos.

[3]  Jung,et al.  Spatiotemporal stochastic resonance in excitable media. , 1995, Physical review letters.

[4]  John L. Hudson,et al.  Experiments on Synchronization and Control of Chaos on Coupled Electrochemical Oscillators , 2000 .

[5]  Claudio R. Mirasso,et al.  Analytical and numerical studies of noise-induced synchronization of chaotic systems. , 2001, Chaos.

[6]  Kurt Wiesenfeld,et al.  Stochastic resonance and the benefits of noise: from ice ages to crayfish and SQUIDs , 1995, Nature.

[7]  L. Tsimring,et al.  Generalized synchronization of chaos in directionally coupled chaotic systems. , 1995, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[8]  T. Sejnowski,et al.  Reliability of spike timing in neocortical neurons. , 1995, Science.

[9]  Pierre Gaspard,et al.  The modeling of mixed‐mode and chaotic oscillations in electrochemical systems , 1992 .

[10]  S Boccaletti,et al.  Unifying framework for synchronization of coupled dynamical systems. , 2001, Physical review. E, Statistical, nonlinear, and soft matter physics.

[11]  Ljupco Kocarev,et al.  A unifying definition of synchronization for dynamical systems. , 1998, Chaos.

[12]  Kurths,et al.  Phase synchronization of chaotic oscillators. , 1996, Physical review letters.

[13]  Gauthier,et al.  Intermittent Loss of Synchronization in Coupled Chaotic Oscillators: Toward a New Criterion for High-Quality Synchronization. , 1996, Physical review letters.

[14]  A. Sutera,et al.  The mechanism of stochastic resonance , 1981 .

[15]  J. Kurths,et al.  Coherence Resonance in a Noise-Driven Excitable System , 1997 .

[16]  Noise-aided control of chaotic dynamics in a logistic map , 2000, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[17]  Carroll,et al.  Synchronization in chaotic systems. , 1990, Physical review letters.

[18]  John L. Hudson,et al.  Complexity of globally coupled chaotic electrochemical oscillators , 2000 .

[19]  Choy Heng Lai,et al.  Synchronization of chaotic maps by symmetric common noise , 1998 .

[20]  Jürgen Kurths,et al.  Noise-enhanced phase synchronization of chaotic oscillators. , 2002, Physical review letters.

[21]  John L. Hudson,et al.  Phase synchronization of nonidentical chaotic electrochemical oscillators , 2002 .

[22]  Pikovsky.  Comment on "Chaos, noise, and synchronization" , 1994, Physical review letters.

[23]  R. Jensen.  Synchronization of randomly driven nonlinear oscillators , 1998 .

[24]  Adi R. Bulsara,et al.  Preface , 1993 .

[25]  Jürgen Kurths,et al.  Noise-induced phase synchronization and synchronization transitions in chaotic oscillators. , 2002, Physical review letters.

[26]  Robustness of supersensitivity to small signals in nonlinear dynamical systems. , 1999, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.